Shortly after winning the Winter Classic on New Year’s Day, the Bruins picked up Miroslav Satan hoping for a little extra goal-scoring ability.

They likely didn’t expect Satan to be a key component in one of their most exhilarating victories of the season.

Satan took a feed from Michael Ryder for the game-winning goal in Wednesday’s double-overtime win over the Sabres in Game 4 of the Eastern Conference quarterfinals, giving Boston a 3-1 series lead.

Prior to the playoffs, Satan came through, too, providing nine goals and 14 points over the second half of the regular season. But perhaps where he’s most valuable is in adding some veteran leadership to the roster, plus the knowledge of what it takes to win after being a part of Pittsburgh’s Stanley Cup champion team in 2008-09.

“I didn’t sign to play on the fourth line, and I always thought I could help the team,” Satan told NESN’s Naoko Funayama on Friday’s edition of Bruins Face-Off Live. “For the first half of the season, the Bruins always talked about issues with the goal-scoring, so I thought this could be a good fit for me.”

Satan, in the midst of his 14th professional season, is playing in his eighth postseason. His experience has provided him with perspective on what it takes to clinch a playoff series.

“We can’t get ahead of ourselves and think about [clinching],” Satan said. “To picture how it’s going to be when we win is not going to help us; it’s the other way around. … We have to take the same approach we’ve had from the beginning.”